Question

(1- 1/2) x ( 1- 1/3 ) x ( 1- 1/4 ) x ( 1- 1/5)

Answer 1

`(1-1/2)xx(1-1/3)xx(1-1/4)xx(1-1/5)`

`=1/2xx2/3xx3/4xx4/5`

`=(1xx2xx3xx4)/(2xx3xx4xx5)`

`=1/5`

Answer 2

\(\left(1-\dfrac{1}{2}\right)x\left(1-\dfrac{1}{3}\right)x\left(1-\dfrac{1}{4}\right)x\left(1-\dfrac{1}{5}\right)\)

\(=\dfrac{1}{2}x\dfrac{2}{3}x\dfrac{3}{4}x\dfrac{4}{5}=\dfrac{1}{5}\)

Answer 3

Ta có : \(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{5}\right)\)

\(=\dfrac{1}{2}.\dfrac{2}{3}.\dfrac{3}{4}.\dfrac{4}{5}=\dfrac{1.2.3.4}{2.3.4.5}=\dfrac{1}{5}\)

Answer 4

=1/2.2/3.3/4.4/5

=1/3.3/5=3/15=1/5

Answer 5

\(\left(1-\dfrac{1}{2}\right)\times\left(1-\dfrac{1}{3}\right)\times\left(1-\dfrac{1}{4}\right)\times\left(1-\dfrac{1}{5}\right)\)

=\(\dfrac{1}{2}\times\dfrac{1}{3}\times\dfrac{1}{4}\times\dfrac{1}{5}\)

=\(\dfrac{1}{5}\)